416375560 has 32 divisors (see below), whose sum is σ = 991955160. Its totient is φ = 156752896.

The previous prime is 416375527. The next prime is 416375563. The reversal of 416375560 is 65573614.

It can be written as a sum of positive squares in 4 ways, for example, as 416241604 + 133956 = 20402^2 + 366^2 .

It is not an unprimeable number, because it can be changed into a prime (416375563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305479 + ... + 306838.

Almost surely, 2^416375560 is an apocalyptic number.

416375560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416375560 is an abundant number, since it is smaller than the sum of its proper divisors (575579600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416375560 is a wasteful number, since it uses less digits than its factorization.

416375560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612345 (or 612341 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 416375560 is about 20405.2826493533. The cubic root of 416375560 is about 746.7268083288.

The spelling of 416375560 in words is "four hundred sixteen million, three hundred seventy-five thousand, five hundred sixty".